Answer:
[tex]176.71[/tex] [tex]in^{2}[/tex]
Step-by-step explanation:
The equation to use to find the radius of a circle is [tex]r = \frac{d}{2}[/tex]
The equation to use to find the area of a circle is [tex]A = \pi r^{2}[/tex]
First, add [tex]3[/tex] inches to the diameter of [tex]12[/tex] inches. You will get [tex]15[/tex] inches.
Second, you will want to find the radius. Substitute [tex]15[/tex] for [tex]d[/tex]. Solve to get the radius.
[tex]r = \frac{15}{2}[/tex]
[tex]r = 7.5[/tex]
The radius is [tex]7.5[/tex] inches.
Next, you substitute [tex]7.5[/tex] for [tex]r[/tex] in the area equation. Solve to get the area.
[tex]A = \pi (7.5)^{2}[/tex]
[tex]A = 176.71 in^{2}[/tex]
